In Douris's first season he only played 11 games and did not acquire any points. In his second season he showed impressive actions in the American Hockey League for the Sherbrooke Canadiens by notching 14 goals and 28 assists for 42 points in 62 games. But in the Jets he was only dressed in 6 games.

After spending 3 seasons with the Jets he signed with Boston Bruins. In his first season in Boston colours, he played 36 games and notched 5 goals and 6 assists along with 15 penalty minutes.

After spending the next two seasons with Boston, the Mighty Ducks of Anaheim acquired him as a free agent in 1993. He was at the Mighty Ducks for three seasons before moving to the Dallas Stars in 1998 where he only play just one game and that was his last season with the NHL.

Douris then headed to Germany's Deutsche Eishockey Liga where he spent four seasons, one with Landshut EV and three with the Munich Barons after relocating from Landshut. Douris retired in 2002, in 11 NHL seasons he scored 54 goals and 67 assists for 121 points in 321 games, picking up 80 penalty minutes. Now, as a retired player, he lives in York Beach, Maine.